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Simplifying -5(-6 + 8v) = -40 + -5v (-6 * -5 + 8v * -5) = -40 + -5v (30 + -40v) = -40 + -5v Solving 30 + -40v = -40 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 30 + -40v + 5v = -40 + -5v + 5v Combine like terms: -40v + 5v = -35v 30 + -35v = -40 + -5v + 5v Combine like terms: -5v + 5v = 0 30 + -35v = -40 + 0 30 + -35v = -40 Add '-30' to each side of the equation. 30 + -30 + -35v = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -35v = -40 + -30 -35v = -40 + -30 Combine like terms: -40 + -30 = -70 -35v = -70 Divide each side by '-35'. v = 2 Simplifying v = 2
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